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Using the Slope-Intercept Form of a Linear Equation KEY IDEA Slope-Intercept Form Words A linear equation written in the form y = mx + b is in slope-intercept form. The slope of the line is m, and the y-intercept of the line is b. Algebra y = mx + b A linear equation written in the form y = 0x + b, or y = b, is a constant function. The graph of ...
Here you will learn about the slope-intercept form of a line, y=m x+b, including how to recognize the slope and y -intercept from the equation y=m x+b and rearrange an equation into slope intercept form y=m x+b.
In this unit, you will examine the meaning of slope and the relevance of slope in linear equations. You will determine the slope of a line, investigate the slope-intercept form of a linear equation, and graph an equation using a point and the slope. You will also examine the equations and graphs of horizontal and vertical lines along with ...
The slope-intercept form is the most "popular" form of a straight line. Many students find this useful because of its simplicity. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and y-intercept can easily be identified.
Intercepts The y -intercept is the y -coordinate of the point where the graph crosses the y -axis, and is found by setting x = 0 in the equation and solving for y .
Slope-intercept form: To graph the equation of a line using slope-intercept form, start by plotting the -intercept (0, ). Then use the slope of the line to move up or down and left or right to plot a second point. Remember that when graphing a line, only two distinct points are needed.
Slope of an Equation (Slope-Intercept Form) Slope-Intercept Form : Examples: y = mx + b m is the slope is the y-intercept The y-intercept tells you where the graph crosses the y-axis. y = 3x - 8 The slope is 3 and the y-intercept is -8. Given in Slope-Intercept Form 4x + 2y = 8 NOT in Slope-Intercept Form Solve for y: 4x + 2y = 8 -4x -4x
